There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co

Question

3 years ago

12

st $8.00. The total amount of money was $6482.50. How many of each kind of ticket were purchased

1 answer:

artcher [175] · Answer 1 · 2022-05-16T05:40:17+03:00

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

$x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2$

From equation 1:

$x = 740-y$

Putting in equation 2

$9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50$

Subtracting 7030 from both sides

$7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5$

Dividing both sides by -1.5

$\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365$

Putting y = 365 in equation 1

$x+365 = 740\\x = 740 - 365\\x = 375$

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

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